For a standard normally distributed random variable <em>Z</em> (with mean 0 and standard deviation 1), we get a probability of 0.0625 for a <em>z</em>-score of <em>Z</em> ≈ 1.53, since
P(<em>Z</em> ≥ 1.53) ≈ 0.9375
You can transform any normally distributed variable <em>Y</em> to <em>Z</em> using the relation
<em>Z</em> = (<em>Y</em> - <em>µ</em>) / <em>σ</em>
where <em>µ</em> and <em>σ</em> are the mean and standard deviation of <em>Y</em>, respectively.
So if <em>s</em> is the standard deviation of <em>X</em>, then
(250 - 234) / <em>s</em> ≈ 1.53
Solve for <em>s</em> :
16/<em>s</em> ≈ 1.53
<em>s</em> ≈ 10.43
Answer:
-9.4
Step-by-step explanation:
–5.3+(-4.1) =
The signs are alike, so we add and take the sign
5.3+4.1 = 9.4
The sign is negative so we take the negative sign
-9.4
The table of values of the function y = ∛x is
x y
-8 -2
-1 -1
0 0
1 1
8 2
<h3>How to fill in the y values?</h3>
The function is given as:
y = ∛x
When x = -8, we have:
y = ∛-8 = -2
When x = -1, we have:
y = ∛-1 = -1
When x = 0, we have:
y = ∛0 = 0
When x = 1, we have:
y = ∛1 = 1
When x = 8, we have:
y = ∛8 = 8
So, the table of values is
x y
-8 -2
-1 -1
0 0
1 1
8 2
Read more about cubic functions at:
brainly.com/question/20896994
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Answer:
is the slope intercept form for 16x+9y=40
Step-by-step explanation:
Here, the given equation is 16 x + 9 y = 40
Now, the slope intercept form of an equation is y = mx + c,
here m = slope of the equation, b = y - intercept
So, now 16x + 9y = 40 on simplification gives
9y = 40 - 16x
or 
or, is the slope intercept form of the given equation.
Here, m = (-16/9) and y- intercept = 40/9
Check the picture below.
we know that AL is an angle bisector, so the angle at A gets cuts into two equal halves, we also know the angle at B is 30°, so the triangle ABC is really a 30-60-90 triangle, meaning the angle at A is really a 60° angle, cut in two halves gives us 30° and 30° as you see in the picture.
if the angles at A and B, inside the triangle ABL, are equal, twin angles are only made in an isosceles by twin sides, that means that AL = BL.
Looking at the triangle ALC, we can see is also another 30-60-90 triangle, and we can just use the 30-60-90 rule to get x=CL.
